## The Elements of Euclid |

### From inside the book

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Page vi

... be made evident in the notes subjoined to these Elements . In like manner , in the demonstration of the 26th prop . of the 11th book , it is

... be made evident in the notes subjoined to these Elements . In like manner , in the demonstration of the 26th prop . of the 11th book , it is

**taken**for granted , that those solid angles are equal to one another which are contained by ... Page 9

A plane superficies is that in which any two points being

A plane superficies is that in which any two points being

**taken**, See N. the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another See N. " in a plane , which ... Page 13

If equals be

If equals be

**taken**from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be**taken**from unequals , the remainders are unequal . VI . Things which are double of the same ... Page 14

“ If a straight line meet two straight lines , so as to make the “ two interior angles on the same side of it

“ If a straight line meet two straight lines , so as to make the “ two interior angles on the same side of it

**taken**together less " than two right angles , these straight lines being continually “ produced , shall at length meet upon ... Page 69

IF any two points be

IF any two points be

**taken**in the circumference of a circle , the straight line which joins them shall fall within the circle . C > Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to ...### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole